14025664900 has 81 divisors (see below), whose sum is σ = 32993209263. Its totient is φ = 5173022400.

The previous prime is 14025664883. The next prime is 14025664909. The reversal of 14025664900 is 946652041.

The square root of 14025664900 is 118430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3615135876 + 10410529024 = 60126^2 + 102032^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14025664900.

It is not an unprimeable number, because it can be changed into a prime (14025664909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15395445 + ... + 15396355.

Almost surely, 2^14025664900 is an apocalyptic number.

14025664900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14025664900 is the 118430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14025664900

14025664900 is an abundant number, since it is smaller than the sum of its proper divisors (18967544363).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14025664900 is an equidigital number, since it uses as much as digits as its factorization.

14025664900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 14025664900 in words is "fourteen billion, twenty-five million, six hundred sixty-four thousand, nine hundred".